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2281 · 3.4

Trade unions — practice questions

Practice and worked examples for 2281 Trade unions. Short previews only — attempt the full question in MarkScheme against the official scheme.

Worked example 1

In a town with one large employer, the competitive wage would be £9 per hour with 5 000 workers employed. The monopsonist pays £7 and employs 3 500 workers. The government sets a national minimum wage of £9.

Using labour market analysis, explain the likely effects on wages and employment. [8 marks]

Show solution outline

Before minimum wage (monopsony):

  • Single buyer sets wage where MRP = MC of labour — pays £7, employs 3 500.
  • Wage is below MRP — workers are paid less than their contribution to revenue.

Minimum wage at £9 (competitive wage):

  • Wage floor binds — firm must pay £9.
  • At £9, MRP = wage for up to 5 000 workers — employment can rise from 3 500 toward 5 000.
  • This contrasts with a competitive market where a minimum wage at £9 when equilibrium is £8 would cause unemployment.

Key point: In monopsony, minimum wage can correct market power — higher wages and higher employment — up to the competitive level. Beyond that, unemployment returns.

Worked example 2

A firm, 'WidgetCo', operates in a perfectly competitive product and labour market. The market wage for a worker is $150 per day. The marginal revenue from selling one widget is constant at $10. The table below shows the daily output of workers. How many workers should WidgetCo hire to maximise profits? Show your working.

Number of WorkersTotal Output (Widgets)
120
------
238
353
465
574
Show solution outline

1. State the Profit-Maximising Rule: A firm in a competitive labour market maximises profit by hiring workers up to the point where the Marginal Revenue Product (MRP) of the last worker equals the wage rate (W). The wage rate is the Marginal Cost of Labour (MCL). So, the rule is MRP = W.

2. Calculate Marginal Product (MP) and Marginal Revenue Product (MRP): First, calculate the Marginal Product (MP) for each additional worker. Then, use the formula MRP = MP × MR. Given: Wage (W) = $150, Marginal Revenue (MR) = $10.

WorkersTotal OutputMPMRP (MP × $10)Wage (W)Decision
12020$200$150Hire (MRP > W)
------------------
23818$180$150Hire (MRP > W)
35315$150$150Hire (MRP = W)
46512$120$150Do not hire (MRP < W)
5749$90$150Do not hire (MRP < W)

3. Conclusion: The firm should hire 3 workers. The MRP of the first and second workers is greater than the wage, adding to profit. The MRP of the third worker is exactly equal to the wage ($150), so the firm is indifferent but will hire them as they cover their own cost. The fourth worker's MRP ($120) is less than their wage ($150), so hiring them would reduce total profit.